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Finding the Fourth Proportional to 4,652.58, 6,981.98 and 1,731.18

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Solution

The fourth proportional to 4,652.58, 6,981.98 and 1,731.18 is: 2,597.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,652.58 : 6,981.98 = 1,731.18 : x
  2. Step 2: Convert to fraction form
    4,652.58/6,981.98 = 1,731.18/x
  3. Step 3: Cross multiply
    4,652.58x = 6,981.98 × 1,731.18
  4. Step 4: Simplify right side
    4,652.58x = 12,087,055.48
  5. Step 5: Solve for x
    x = 12,087,055.48/4,652.58
  6. Step 6: Final answer
    x = 2,597.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.